Hey Jim, axolotls (Ambystoma mexicanum) are the only legal salamander allowed to be kept in Australia. As Matt said, Japanese Giant Salamanders are also here - but they are only allowed for high-security/research labs - not hobbyist.
As for morphing them, it is possible - but as Matt said, is very painful for them, and if they do happen to make the morph - won't live longer than a year or two, rather than their normal 15-20yrs. It can be done by injecting Idoine into them, or by being kept in intolerable conditions for some time. I've had an axie morph on me before - from the pet store conditions. He didn't make it.
Funny morphing was mentioned, I was just on my way in here to say that two of my axolotls (Feliz & Sonriente - the two guys I got from you, Jim) are morphing. Pretty upset over it, and just hoping they will survive the morph, even though that means it can cut down their lifespan. Both are about 9months to a year old, and should have a long life ahead of them.
Internet is very slow, but I'll post pictures as soon as possible.